Question

Solve 6^x = 24

Answer 1

6^x = 24
Take log on both sides
xln6 = ln24

Divide both sides by ln6 to isolate x.

Answer 2

x = log(24)/log(6)

Answer 3

Plot[{6^x, 24}, {x, -2., 2.}]

Answer 4

change to logarithmic form \[x = \log_6 (24)\]

Answer 5

x = (3 log(2)+log(3))/(log(2)+log(3))
x = (2 i pi n+log(3)+3 log(2))/(log(2)+log(3)), n element Z

u can see here clearly the steps
http://www.wolframalpha.com/input/?i=6%5Ex+%3D+24

Answer 6

\[x =\frac{ \log(24)}{\log(6)}=\frac{ \log(4\times6)}{\log(6)}=\frac{ \log(4)+\log(6)}{\log(6)}\]

Answer 7

these are my choices x ≈ 30.84

x ≈ 1.77

x ≈ 0.56

x ≈ 0.23

Answer 8

\[\frac{ \log(4)+\log(6)}{\log(6)}=\frac{\log (4)}{\log(6)}+1\]

Answer 9

you can use a calculator to find log4/log6

Answer 10

real solution is x = (2 i pi n+log(3)+3 log(2))/(log(2)+log(3)), n element Z

Answer 11

1.77 thanks