Question 284540
The formula for converting a logarithm of one base into an expression of logarithms of another base is: {{{log(a, (p)) = log(b, (p))/log(b, (a))}}} (Note where the argument and the base of the original logarithm (on the left) end up on the right side.)<br>
We will use this to convert your logarithms into natural logarithms (aka ln). I'll do the last one first because it is harder than the other two.
{{{log(5, (x^4))}}}
Using the conversion formula on this we get:
{{{ln(x^4)/ln(5)}}}
This may be an acceptable answer. But we could use a property of logarithms, {{{log(a, (p^q)) = q*log(a, (p))}}}, to move the exponent of the argument in the numerator out in front:
{{{4ln(x)/ln(5)}}}<br>
The other two problems are just one step. I'll leave them for you to finish. Just use the conversion formula like I did above.