Question

solve the equation f(x)=g(x) algebraically.
f(x)= ln(x-4)
g9x)=0

Answer 1

so you need to solve:
\[\huge 0=ln(x-4) \]

Answer 2

can you write this in exponential form?

Answer 3

how do you do that? :O

Answer 4

any exponential equation can be written in logarithmic form and vice versa...
\[\huge b^M=N\Leftrightarrow log_bN=M \]

Answer 5

so in your case..
\[\huge ln(x-4)=0\Leftrightarrow e^0=x-4 \]

Answer 6

do you know what \(\large e^0= \)????

Answer 7

1? sorry late reply

Answer 8

ooops...
I mean
\[1=x-4\]

Answer 9

\[e^0 = 1\]
therefore
\[1 = x - 4\]
now solve for x