Answer:
[tex]x = \frac{(ln8)}{(ln7)} [/tex]
Step-by-step explanation:
Solve for x
Take the logarithm of both sides of the equation to remove the variable from the exponent. We have:
[tex]ln(7x) = ln(8)[/tex]
Expand
[tex]ln(7)[/tex]
by moving x outside the logarithm. It becomes:
[tex]x \: ln(7) = ln(8)[/tex]
Divide each term in
[tex]x \: ln(7) = ln(8) \: by \: ln(7)[/tex]We have:
[tex] \frac{x \: ln(7)}{ln(7)} = \frac{ln(8)}{ln(7)} [/tex]
:. Exact form:
[tex] \frac{ln(8)}{ln(7)} [/tex]
