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Equation: 3^x=64. Round your answer to the nearest whole number. = __________

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Answer:

4

Explanation:

3^x =64

Take the logarithm of both sides of the equation.

log(3^x)=log(64)

The logarithm of a number raised to a power is the power times the logarithm of the number.

xlog(3)=log(64)

Divide both sides by log(3).

x=Log(64)/LOG(3)

You need a calculator for this part.

x = 3.78557852143, which rounded to the nearest whole number is 4.

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