log and Exponential Equations: logb^300=30, find b)

Exponential Equations: logb^300=30, find b)

[the cyclist]

Do you mean

log(b^300)

or

(log(b))^300

?

Answer 1

[Azzi Abdelmalek]

syms b
sol=solve(log(b^300)==30)

Answer 2

[Star Strider]

This is fairly straightforward.

log(b^300) = 300*log(b)

log(b) = 30/300

exp(log(b)) = b = exp(0.1)

Use MATLAB to get the numbers:

b = exp(30/300);
check = 300*log(b)

b =
     1.1052

check =
    30.0000e+000