Mathematics, 19.08.2019 10:30 edjiejwi
Express log base a of x + 1/2log base a of y as a single logarithm.
Answers: 2
⇔ n log x
x + 
)
![log_a(x)+\dfrac{1}{2}log_a(y)\\\\\text{Use the rules for condensing}\\\bullet \text{coefficient becomes exponent}\\\bullet \text{addition becomes multiplication}\\\\.\quad log_a(x)+log_a(y)^{\frac{1}{2}}\\= log_a[(x)(y)^\frac{1}{2}]\\= log_a(xy^{\frac{1}{2}})\\\\\\\text{This can also be written as: }log_a(x\sqrt{y})](/tpl/images/0178/4758/e5127.png)
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Express log base a of x + 1/2log base a of y as a single logarithm....
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