Write the logarithm in terms of the log of x, y, and z.

log(cuberoot x^2)y(sqrt z^5)

Question

Write the logarithm in terms of the log of x, y, and z.

log(cuberoot x^2)y(sqrt z^5)

anonymous · Answer

log(cuberoot x^2)y(sqrt z^5)
=log[x^(2/3)y(z^(5/2))]
=logx^(2/3)+logy+log(z^(5/2))
=(2/3)logx+logy+(5/2)logz

anonymous · Answer

my multiple choices are:
(2/3)logx + (1/3)logz + (1/6)logy
or
2logx + logy^1/2 + logz
or
(2/3)logx + (1/3)logy + (5/6)logz
or
or logx^2 + logy + (1/2)logz

any suggestions since we can't match it?

anonymous · Answer

it didnt come out clear  and may be cuberoot over the entire equation... if so I believe it may be the 3rd option