Με τόση αφοσίωση και αποφασιστικότητα, λογικά θα πετύχει τον στόχο της.

Because τόση has to agree with the noun αφοσίωση, which is feminine singular.

The basic pattern is:

• τόσος = masculine
• τόση = feminine
• τόσο = neuter

So:

• τόση αφοσίωση
• τόση αποφασιστικότητα

Both αφοσίωση and αποφασιστικότητα are feminine nouns, so τόση is the correct form.

After με, Greek normally uses the accusative case.

So in this sentence:

• με αφοσίωση
• με αποφασιστικότητα

are accusative forms.

The reason this may not be obvious is that many feminine nouns in Modern Greek have the same form in nominative and accusative singular. So even though the case is accusative, αφοσίωση and αποφασιστικότητα look unchanged.

Because τόση directly modifies the first noun, αφοσίωση, and is understood with the second noun as well.

So με τόση αφοσίωση και αποφασιστικότητα is naturally understood as:

• με τόση αφοσίωση και (τόση) αποφασιστικότητα

Greek often avoids repeating the adjective when the meaning is clear.

Also, these are abstract nouns, so the phrase is closer to with so much dedication and determination than to counting separate items.

Yes, λογικά literally means logically, but in everyday Greek it often means something like:

• reasonably
• in all likelihood
• probably

So here it is not about formal logic. It is more like saying:

• Given that, she’ll probably succeed
• It stands to reason that she’ll succeed

That is a very common conversational use of λογικά.

Θα πετύχει is the simple future.

It is formed with:

• θα
  • the dependent/perfective verb form

Here the verb is from πετυχαίνω. In this sentence, Greek uses the form πετύχει after θα:

• θα πετύχει = she/he will achieve / will succeed

So even though English uses will + base verb, Greek uses θα plus the appropriate verb form.

It can mean either, depending on the structure.

• Without an object, it often means to succeed.
• With an object, it often means to achieve, to hit, or to reach something.

Here we have a direct object:

• τον στόχο της

So the sense is specifically achieve/reach her goal.

Because Greek often omits subject pronouns when the verb ending already shows the person and number.

In θα πετύχει, the verb tells us it is third person singular:

• he / she / it will achieve

Greek does not need to say αυτή unless the speaker wants emphasis or contrast.

So:

• Θα πετύχει = She will succeed / He will succeed

The exact person is understood from context.

Της here means her.

Greek often expresses possession with a weak genitive pronoun placed after the noun:

• ο στόχος της = her goal
• το σπίτι μου = my house
• η φίλη τους = their friend

So unlike English, where the possessive usually comes before the noun, Greek commonly puts it after.

In this sentence:

• τον στόχο της = her goal

Because στόχο is the direct object of the verb πετύχει, so it appears in the accusative singular.

The noun is:

• nominative: ο στόχος
• accusative: τον στόχο

The article changes too:

• ο → τον

So:

• θα πετύχει τον στόχο της
  means she will achieve her goal

This is about the final -ν in the masculine accusative article.

In Modern Greek, that final -ν may be:

• retained more consistently in careful or formal usage
• sometimes dropped in other contexts, depending on the following sound and the speaker’s habits

So learners may encounter both:

• τον στόχο
• το στόχο

In this sentence, τον στόχο is perfectly normal and standard.

Yes. Greek word order is fairly flexible.

This sentence begins with:

• Με τόση αφοσίωση και αποφασιστικότητα

That fronted phrase sets the scene and gives emphasis to the reason or basis for the conclusion.

You could also hear variations such as:

• Λογικά θα πετύχει τον στόχο της με τόση αφοσίωση και αποφασιστικότητα.
• Θα πετύχει λογικά τον στόχο της.

But the original order sounds very natural because it highlights the qualities first, then gives the conclusion.

The comma separates the opening prepositional phrase from the main clause:

• Με τόση αφοσίωση και αποφασιστικότητα,
• λογικά θα πετύχει τον στόχο της.

This makes the sentence easier to read and signals a pause, similar to English when you start with a phrase like:

• With that much dedication and determination, ...

So the comma is helping structure and rhythm, not changing the basic grammar.

They are related but not identical.

• αφοσίωση = dedication, devotion, strong commitment
• αποφασιστικότητα = determination, firmness of will, resolve

So the sentence combines two qualities:

• committed effort
• strong resolve

That pairing is very natural in Greek and sounds strong and positive.