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lidiya [134]
3 years ago
8

Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for

x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

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