Question 1192138
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{{{log((y^2(r^3-10)sqrt(x)/100w^4))}}}<br>
Write the radical in exponential form:<br>
{{{log((y^2(r^3-10)(x)^(1/2)/100w^4))}}}<br>
Use your log of product and log of quotient rules to write as sums and differences of logs:<br>
{{{log((y^2))+log((r^3-10))+log(((x)^(1/2)))-log((100))-log((w^4))}}}<br>
Use your rule for log of something to a power<br>
{{{2log((y))+log((r^3-10))+(1/2)log((x))-log((100))-4log((w))}}}<br>
Since the problem says to evaluate logs where possible, and since the base of the logarithm is 10, simplify "log(100)":<br>
{{{2log((y))+log((r^3-10))+(1/2)log((x))-2-4log((w))}}}<br>