Question 958640
I'll give you one. They are too much work:
{{{log_5(8-3x)= 0.75}}}
{{{(log(8-3x))/(log(5)) = 0.75}}} I'm going to replace the 0.75 with its fraction equivalent 3/4:
{{{(log(8-3x))/(log(5)) = 3/4}}}
{{{log(8-3x) = (3log(5))/4}}}
{{{(3log(5))/4  =  log(5^(3/4))}}}
{{{log(8-3x) = log(5^(3/4))}}}
{{{8-3x = 5^(3/4)}}}Subtract 8 from both sides:
{{{-3x = 5^(3/4)-8}}} Lastly, divide both sides by -3:
Your answer is: {{{x = 8/3-5^(3/4)/3}}}