SOLUTION: {{{In ^4sqrt(ab^2)}}} I do not know how to express this in terms of sums and differences of logarithms. Please help. Thank you very very much.

Question 153014: I do not know how to express this in terms of sums and differences of logarithms. Please help. Thank you very very much.
Found 2 solutions by Fombitz, nabla:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Two logarithm rules are needed here,

.
.
.

Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
4th root is the same as to the 1/4 power. We take powers out of logarithms as fraction coefficients.
So =1/4(ln ab^2)
Now, multiplied variables/numbers in logarithms can be taken out as addition.
So (1/4)(ln ab^2)=(1/4)(ln a)+(1/4)(ln b^2)
Now, repeat the first step for the logarithm with b^2.
So (1/4)(ln a)+(1/2)(ln b)
RELATED QUESTIONS
express in terms of sums and differences of logarithms: log ^3sqr root x^2/y please show (answered by Alan3354)
i dont understand how to express a prob;em in terms of sums and differences of logarithms (answered by RAY100)
Express (x^2 y)^1/5 in terms of sums and differences of logarithms. (answered by stanbon)
express in terms of sums and differences of logarithms:... (answered by greenestamps)
Express in terms of sums and differences of logarithms: log(x^2y^3/z) (answered by Edwin McCravy)
How do I express in terms of sums and differences of logarithms. for example log of a, 9x (answered by MathLover1)
Express in terms of sums and differences of logarithms log sq rt. symbol... (answered by stanbon)
Express in terms of the sums and differences of logarithms: logx [(m3n)/... (answered by Fombitz)
express in terms of sums and differences of logarithms ln ((7/9... (answered by tommyt3rd)