Question

10^X=13
X=?

Answer 1

x=10.log(13)

Answer 2

x=1.11394

Answer 3

you mean 11.1394?

Answer 4

x ln10= ln 13

Answer 5

then divide both sides by ln 10

Answer 6

Recall that log(x^y) = ylogx. If you log both sides of the equation, we get:
log(10^x) = log(13)
that is equal to:
xlog10 = log(13).
But log base 10 of 10 is 1, so:
x = log(13) that is approximately 1.11394