Solving a logarithmic equation

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Solving a logarithmic equation with different bases
#math #algebra #logarithm #iitjeemaths
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my way.

log_2(x)+
log_2(x)/log_2(4)+
log_2(x)/log_2(16)=21/4

log_2(x)+
log_2(x)/2+
log_2(x)/4=21/4

log_2(x).7/4
=21/4

log_2(x)=3
x=2^3=8

davidseed