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

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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