Explain how to solve 4^x+3 = 7 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.

The value of x is 1

Explanation:

The equation is

Subtracting both sides by 3, we get,

Taking log on both sides, we get,

Rewriting the equation by

Thus, we have,

Applying log rule, if , then

Thus,

Substituting in , we get,

Also, since, , then

Thus,

Hence, the value of x is 1

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step-by-step explanation:

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