Question 67219
(A.) log(base 5)7 + log(base 5)8 = log(base 5)(2x-4)
{{{log(5,7) + log(5,8) = log(5,2x - 4)}}}
{{{log(5,7*8) = log(5,(2x - 4))}}}
{{{56 = 2x - 4}}}
{{{60 = 2x}}}
{{{30 = x}}}
(B.) log(base 3) (x+1) - log(base 3) x = log(base 3) 15
{{{log(3,x + 1) - log(3,x) = log(3,15)}}}
{{{log(3,(x + 1)/x) = log(3,15)}}}
{{{(x + 1)/x = 15}}}
{{{x + 1 = 15x}}}
{{{1 = 14x}}}
{{{1/14 = x}}}
(C.) (3/4)log(base 10) 10,000 = x
{{{(3/4)log(10,10000) = x}}}
{{{(3/4)(4) = x}}}
{{{3 = x}}}