Solve 4^x- 3 = 18. round to the nearest thousandth.

Logarithm functions are the inverse of the exponential functions. Using the logarithm functions property we get the value of the x for the given function is 5.079(approx.).

The function given in the problem is,

Logarithm functions are the inverse of the exponential functions. Solve the given problem using the properties of the logarithm functions,

Taking log both side,

The value of the x for the given function is 5.079(approx.).

Learn more about the logarithm function here:

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4^(x- 3) = 18

ln[4^(x- 3)] = ln(18)

ln4(x - 3) = ln(18)

ln4x - ln4(3) = ln18

ln4x = ln18 + 3ln4

x = [ln18 + 3ln4]/ln4

x = 5.0849625007

x is approximately 5.085.