Can you assist on how to come up with answer the question is solve 5^(3x-2) = 22 I am coming up with 2.1033 but the answer s/b 2.1333

Can you assist on how to come up with answer the question is solve 5^(3x-2) = 22 I am coming up with 2.1033 but the answer s/b 2.1333

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Well...let's see

Let's take the log of both sides....this gives

log5^(3x-2) = log(22)   And by a property of logs, we can bring the (3x-2)  "out front"    So we have

(3x-2) log5 = log22  Now, divide both sides by log 5  and we get

(3x-2) = log22/log5  Now, let's add 2 to both sides and divide everything by 3   this gives

x = [ log22/log5 + 2]/3 = 1.3068575534927903

This is the correct answer (verify it for yourself)

2.1333 definitely isn't correct (it results in an answer of about 1190 instead of 22)

2.1033 reults in an answer of about 1029

I tried to "backtrack" to see how you might have made a mistake, but I couldn't find a way to get either of those other two answers.....