Question 858985
{{{log(b,5)=2}}} and {{{log(b,7)=3}}} as given.
Find {{{log(b,(35b^4))}}}.


{{{log(b,(35b^4))=log(b,(5*7*b^4))}}}_____|____factoring the argument
{{{log(b,5)+log(b,7)+log(b,b^4)}}}______|____logarithm of a product
{{{log(b,5)+log(b,7)+4*log(b,b)}}}______|____logarithm of number raised to a power
Using the given statements,
{{{2+3+4log(b,b)}}}_____________|_____substitution of given information
{{{5+4*1}}}____________________|______Exponential and logarithm functions are inverses
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