Question

Consider the relationship f(x)=2^x and g(x)=log2 x.the equations 2^x and $log_{2}(8) = x \: has \: the \: same \: solution$Trueor False

Answer 1

$f(x)=2^x$$g(x)=\log _2x$

To find the solution of the equations:

1. Knowing the next property of logarithms:

$\log _ax=y\Rightarrow a^y=x$

The equation:

$\log _28=x$

Is equal to:

$2^x=8$You can see that the equations are differents, as the first one is 2^x (2^x=0) and the second one is 2^x=8. Then, the solutions are differents.