127k views
8 votes
What is the value of xin 2(5^x)=

14?
A. log7/
log5
B. log7 – log5
C. log2
D.
log5
/
log7

1 Answer

9 votes

Answer:

A. log(7)/log(5)

Explanation:

You want the solution to 2(5^x) = 14.

Logarithms

We can get the exponential term by itself by dividing both sides by 2:

5^x = 7

Taking logs gives ...

x·log(5) = log(7)

x = log(7)/log(5) . . . . . . . divide by the coefficient of x

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Additional comment

The rules of logarithms tell you ...

log(a^b) = b·log(a)

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User Neil Steiner
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