Sorry but its the logs again

Algebra Level 1

Solve for x x :

log 2 24 log 2 3 = log 5 x \log_2 24 - \log_2 3 = \log_5 x

3 125 21 72 243

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2 solutions

Munem Shahriar
Oct 5, 2017

log 2 24 log 2 3 = log 5 x \log_2 24 - \log_2 3 = \log_5 x

log 5 ( 125 ) = log 5 ( x ) \log_5 (125) = \log_5(x)

125 = x 125 = x

x = 125 x = \boxed{125}

Vilakshan Gupta
Oct 5, 2017

log 2 24 log 2 3 = log 2 8 = 3 x = 5 3 = 125 \log_2{24}-\log_{2}3=\log_28=3 \\ \implies x=5^3=\boxed{125}

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