Question

I need help with the steps with this problem as well, log(z-3)=2

Answer 1

Assuming you mean log base 10


\[\large \log(z-3)=2\]


\[\large z-3=10^2\]


\[\large z-3=100\]


\[\large z=100+3\]


\[\large z=103\]

Answer 2

In the next problem i'm given a decimal is that the same format.

Answer 3

So the problem is \[\large 7\log_{4}(0.6x)=12\] ???

Answer 4

yes

Answer 5

\[\large 7\log_{4}(0.6x)=12\]


\[\large \log_{4}(0.6x)=\frac{12}{7}\]


\[\large 0.6x=4^{\frac{12}{7}}\]


\[\large x=\frac{4^{\frac{12}{7}}}{0.6}\]


\[\large x\approx 17.9453359017648\]