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anonymous
 5 years ago
convert this expression: 7^10y = 4k
into a logarithm
anonymous
 5 years ago
convert this expression: 7^10y = 4k into a logarithm

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.07^(10y) = 4k? log7(7^(10y)) = log7(4k) (10y) = log7(4) + log7(k) y= [log7(4) + log7(k)] over (10) or are you looking for "k"?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i want to change it into log

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0log7(7) = 1 so the LHS becomes 1(10y)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[b ^{y}=N\] \[= \log _{b}N=y\]where the base is b=7 the exponent is 10y and N=4k so the answer is \[\log _{7}(4k)=10y\] remember a log is an exponent
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