Logarithm Laws

Which of the following is not equivalent to $$\log36$$

The $$\log_320$$ can be written as

Which of the following is equivalent to $$\log\left(\frac{x^3}{\sqrt[3]{y}}\right)?$$

The difference $$\log\left(\cos x\right)-\log\left(\sin x\right)$$ can be expressed as

If $$\log5=p\ and\ \log2=q\ then\ \log200\$$ can be written in terms of $$p\ and\ q\$$ as

When rounded to the nearest hundredth, $$\log_37=1.77.\$$ Which of the following represent the value of $$\log_363$$ to the nearest hundredth?

Which of the following is equivalent to $$\log\left(x-6\right)-\log\left(x^2-2x-24\right),\$$ assuming $$x\ne6?$$

The expression $$4\log x-\frac{1}{2}\log y+3\log z$$ can be rewritten equivalently as

If $$k=\log_23\ then\ \log_248=$$

If $$g\left(x\right)=8x^6\ and\ f\left(x\right)=\log_4\left(2x\right)then\ f\left(g\left(x\right)\right)=?$$