Condense the expression to the logarithm of a single quantity.

\[ 8 \log_8 x + 16 \log_8 y \]

8log₈(x)+16log₈(y)
=log₈(x⁸)+log₈(y¹⁶)
=log₈(x⁸y¹⁶)
=log₈((xy²)⁸)

Answered by Anonymous | 2024-06-10

The expression 8 lo g 8 ​ x + 16 lo g 8 ​ y condenses to lo g 8 ​ ( x 8 y 16 ) or lo g 8 ​ (( x y 2 ) 8 ) . This is done using the power rule and the addition rule of logarithms. The final answer shows the logarithm of a single quantity that combines both variables.
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Answered by Anonymous | 2024-10-01