Question

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Answer 1

3)

$4^{x-5}=256\\\\4^{x-5}=4^4\\\\x-5=4\\\\x=4+5\\\\x=9$

4)

$M=log_{_2}64\\\\2^M=64\\\\2^M=2^6\\\\M=6$

5)

$0,01^x=0,0001\\\\\left(\frac{1}{100}\right)^x=\left(\frac{1}{10000}\right)\\\\\left(\frac{1^2}{10^2}\right)^x=\left(\frac{1^4}{10^4}\right)\\\\\left(\frac{1}{10}\right)^{2^x}=\left(\frac{1}{10}\right)^4\\\\\left(\frac{1}{10}\right)^{2x}=\left(\frac{1}{10}\right)^4\\\\2x=4\\\\x=\frac{4}{2}\\\\x=2$