Question 684415

Solve for the unknown:

60[log(3+z)+2log(2)]-15=85

Help!


{{{60(log ((3 + z)) + 2log 2) - 15 = 85}}}


{{{60(log ((3 + z)) + log 2^2) - 15 = 85}}}


{{{60(log ((3 + z)) * 4) - 15 = 85}}}


{{{60(log (12 + 4z)) - 15 = 85}}}


{{{60(log (12 + 4z)) = 85 + 15}}}


{{{60(log (12 + 4z)) = 100}}}


{{{log (12 + 4z) = 100/60}}}


{{{log (12 + 4z) = 5/3}}}


{{{12 + 4z = 10^(5/3)}}}


{{{4z = - 12 + 10^(5/3)}}}


4z = 34.41589


z = {{{34.41589/4}}}, or 8.603972 ≈ {{{highlight_green(8.6)}}}


You can do the check!!


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