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1 vote
Which logarithmic equation is equivalent to the exponential equation below?

E^a=38.47

A. In a=38.47
B. Log a 38.47=3.65
C. In 38.47= a
D. Log38.47 3.65=e

User WiSaGaN
by
7.9k points

2 Answers

4 votes
C is the correct answer
User Jacka
by
8.5k points
6 votes

Answer:

C) a = ln (38.47).

Explanation:

Given :
E^(a) = 38.47

To find : Which logarithmic equation is equivalent to the exponential equation.

Solution : We have given that :
E^(a) = 38.47.

Taking natural logarithm both sides


log_(e)(E^(a)) = log(38.47).

By the logarithm rule:
log_(a)(a^(n))= n ;
log_(e)(e) = 1.=1.

Then , a = ln (38.47).

Therefore,C) a = ln (38.47).

User Igor Yalovoy
by
7.1k points

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