Question 473939
Use the following log rules:
log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
--> {{{log 5^7 = 7*log 5}}}
--> {{{(1/2)log 5^4 = (4)(1/2)log 5 = 2*log 5}}}
--> {{{log 5^x = x*log 5}}}
Now the equation looks like this:
{{{7*log 5 + 2*log 5 = x*log 5}}}
Add like terms
{{{9*log 5 = x*log 5}}}
Divide by log(5) on both sides
{{{9 = x}}}
Solution is x = 9