Use the Laws of Logarithms to expand the expression Loga4b8

Use the Laws of Logarithms to expand the expression. Log(a^4/b^8 squareroot c)

Solution

log (a⁴/b⁸* sqrt c)

log a⁴-log(b⁸*sqrt c)

log a⁴-(log b⁸+ log sqrtc)

4 log a - (8 log b + 1/2 log c)

4 log a - 8 log b - 1/2 log c