Question 715021
5)Solve the following exponential equation. 25^x+5^(x+1)-24=0
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25 = 5^2
{{{25^x+5^(x+1)-24=0}}}
--> {{{5^(2x) + 5^(x+1) = 24}}}
2x*log(5) + (x+1)*log(5) = log(24)
2x + x+1 = log(24)/log(5)
3x = log(24)/log(5) - 1
x = log(24)/(3log(5)) - 1/3
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6)Solve the following logarithmic equation. log2(x+6)=3-log2(x-1)
{{{3 = log(2,8)}}}
log2(x+6)=3-log2(x-1)
--> {{{ log(2,(x+6)) = log(2,8) - log(2,(x-1) = log(2,8/(x+1)))}}}
x+6 = 8/(x+1)
etc
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3)Consider the functions f(x)=x^3-4 and g(x)=^3sqrt x+4.
I don't know what ^3sqrt x+4 means.