Derivative Questio

Question

Rewrite the expression log(2⁡)x+4log(2⁡)y−3log(2⁡)zas a single logarithm log2⁡A. Then the function

A=

The answer I keep getting is wrong

Answer 1

This entails 2 log rules (doesn't matter what base except that the base is the same throughout)

1) logx + logy = log(xy) and (note that subtracting logy from logx leads to log(x/y))

2) nlog(x) = log(xⁿ)

Use rule (2): logx + log(y⁴) + log(z³)

Use rule (1): log(xy⁴z³)

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