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.
1 answer:
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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