Question

Loga(a^4b^9) если log b a=1/3

Answer 1

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Answer 2

To solve this problem, we can use the logarithmic properties to simplify the expression. The logarithmic property we'll use is:

log base b of a^c = c * log base b of a

Given that log base b of a = 1/3, we can rewrite the expression as:

log base a of (a^4b^9) = 4 * log base a of a + 9 * log base a of b

Since log base a of a is equal to 1, we can simplify further:

log base a of (a^4b^9) = 4 + 9 * log base a of b

Therefore, log base a of (a^4b^9) is equal to 4 + 9 * log base a of b.