Free Practice Question

PS · Problem Solving

655-705

Exponents/Powers

Determine the sum of the roots for the equation $5^x - 10*2^x + 15 = 0$ .

Answer Choices

Correct answer marked below

A

1

B

2

3

Correct

D

4

E

5

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Explanation

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Official Explanation

Official

The roots are 1 and 2. 1 + 2 = 3. Thus, the correct answer is C.

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D

DFeb 16, 2025

Thank you very much!

A

AniketJan 21, 2024

Thankss

S

SaeedDec 13, 2024

good question

What this question tests

What it tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Common trap

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).

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Determine the sum of the roots for the equation 5x−10∗2x+15=05^x - 10*2^x + 15 = 05x−10∗2x+15=0.