Asked by Beth
Evaluate the expression below
log 243
9
log 243
9
Answers
Answered by
Steve
log<sub>9</sub>243 = log<sub>3</sub>243/log<sub>3</sub>9
= 5/2
Think of it like this. Since 9 = 3^2, 9^n = (3^2)^n = 3^2n
That is, the power of 3 will be twice the power of 9.
Logs work the same way. The power of 9 needed to get to n is half the power of 3. Since log<sub>9</sub>n is the power of 9 needed to produce n, it will be half the power of 3 needed.
= 5/2
Think of it like this. Since 9 = 3^2, 9^n = (3^2)^n = 3^2n
That is, the power of 3 will be twice the power of 9.
Logs work the same way. The power of 9 needed to get to n is half the power of 3. Since log<sub>9</sub>n is the power of 9 needed to produce n, it will be half the power of 3 needed.
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