trig

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Is the answer to this problem correct? I'm not sure and I want to make sure I do well on the test.

Evaluate the following logarithms given log 4/log a = .321

The answer my teacher gave me was 0.963.

What is the reasoning behind the answer?

• trig -

What is the base of your logarithms? 10? Are you supposed to evaluate a ?

I don't see how to get a = 0.963

• trig -

are you solving for a ?

log 4/log a = .321
log a = log 4/.321
log a = 1.875576
a = 10^1.875576
= 75.089

check
log 4/log 75.089 = .321

• trig -

Is your question evaluate a given that log4/loga=0.321?

if that's the case, then the answer is wrong.

• trig -

Yeah, it was to solve for A.
I assumed it was to multiply by 3. Seeing as 4^3 = 64.

log(sub a) 4 = .321

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