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Bunuel
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Bunuel
If \(8^{13} = 2^z\) , then z =

(A) 10
(B) 13
(C) 19
(D) 26
(E) 39

\(2^{26} = 2^z\)

So, \(z = 26\)

Thus, answer will be (D) 26
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Abhishek009
Bunuel
If \(8^{13} = 2^z\) , then z =

(A) 10
(B) 13
(C) 19
(D) 26
(E) 39

\(2^{26} = 2^z\)

So, \(z = 26\)

Thus, answer will be (D) 26

2^2 does not equal 8

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Abhishek009
Bunuel
If \(8^{13} = 2^z\) , then z =

(A) 10
(B) 13
(C) 19
(D) 26
(E) 39

\(2^{26} = 2^z\)

So, \(z = 26\)

Thus, answer will be (D) 26

Hi,

I am a bit confused here. Shouldn't the answer be E instead? 8=2^3 which means 3*13=39. I am not quite sure how you got 26 as your answer. Could you please explain?
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Abhishek009
Bunuel
If \(8^{13} = 2^z\) , then z =

(A) 10
(B) 13
(C) 19
(D) 26
(E) 39

\(2^{26} = 2^z\)

So, \(z = 26\)

Thus, answer will be (D) 26

Hi,

I am a bit confused here. Shouldn't the answer be E instead? 8=2^3 which means 3*13=39. I am not quite sure how you got 26 as your answer. Could you please explain?

The answer is E. Not D Abhishek009's solution is incorrect.
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we are told that
\(8^{13}=2^{z}\)
writing 8 as 2^{3}
\(({2^{3}})^{13}=2^{z}\)

\(2^{39}=2^{z}\)

we can equate bases if the bases are same, so
z= 39
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