Question

Solve the equation 6^x = 13 exactly in terms of natural logarithms. Then use a calculator to approximate your answer to three decimals.

A) 1.03
B) 1.13
C) 1.23
D) 1.33
E) 1.43

Answer 1

f[x] := 6^x - 13

f[1.03]

-6.66866

f[1.13]

-5.42625

f[1.23]

-3.94005

f[1.33]

-2.1622

f[1.43]

-0.0354846

Answer 2

x = log(13)/log(6) = 1.43153

Answer 3

Thanks! And thank you for showing your work I understand now :)