We begin by isolating the logarithm on one side. When this is done, we will use the to undo the logarithm.
4⋅log(x)=-12 log(x)=-3 10LHS=10RHS 10log(x)=10-3 10log(m)=m x=10-3
Here, the logarithm already stands by itself on the left-hand side. It does not matter that it is the logarithm of 4x, we proceed in the same way as before. At the end, we solve for x.
log(4x)=3 10LHS=10RHS 10log(4x)=103 10log(m)=m
Here, we also need to get the logarithm by itself before we use that we can use a power to undo a logarithm.
5log(2x)−1=9 5log(2x)=10 log(2x)=2 10LHS=10RHS 10log(2x)=102 10log(m)=m