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Solve this equation of logarithm log 4 32 equal to x-4

Answer»
log_{4}(32)  = x - 4 \\  log_{4}( 4   \times 4 \times 2)  = x - 4 \\  log_{4}( {4}^{2} )  +  log_{4}(2)  = x - 4 \\ 2 +  \frac{1}{2}  = x - 4 \\ x = 6 +  \frac{1}{2}  =  \frac{13}{2}


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