`5log_4(2)+7log_4x+4log_4y` Condense the expression.

`5log_4(2) + 7log_4(x) + 4log_4(y)`

To express this as one logarithm, first apply the rule `log_b a^m = m*log_b(a)` .

`= log_4(2^5) + log_4(x^7) + log_4(y^4)`

`= log_4(32) + log_4(x^7)+log_4(y^4)`

And, apply the rule `log_b (m * n) =log_b (m)+log_b(n)` .

`= log_4 (32x^7y^4)`

Therefore, `5log_4(2) + 7log_4(x) + 4log_4(y)=log_4(32x^7y^4)` .

Comments

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