Question

Solve for x:

x^3= log e base 13

Answer 1

X = 3 Log e base 13

This is the value of X

Answer 2

[tex]x^3=log_{13}(e) [/tex]
Applying $log_ab= \frac{lnb}{lna}$ changing to a common base e:
⇒$x^3= \frac{lne}{ln13}$
Applying lne=1:
⇒$x^3= \frac{1}{ln13}$
⇒$x^3= \frac{1}{2.565}$
⇒$x^3=0.3899$
Cube root both sides:
⇒$x=0.73$