Question

Please help me solve ln 5 +ln 2x=3

Answer 1

Ln(5) + ln(2x) = 3                   Remember that ln(a) + ln(b) = ln(ab)
ln(10x) = 3   
This statement means that the power we have to raise e to in order to get 10x is 3. Therefor:
e³ = 10x
x = e³/10

Answer 2

Answer:

$x=\frac{e^3}{10}$

Step-by-step explanation:

We have the equation

$ln5 +ln 2x=3$

The first step to simplify is to use the following property of logarithms

$lna+lnb=ln(a*b)$, in this case a=5 and b=2x

So the original equation becomes:

$ln(5*2x)=3$

$ln(10x)=3$

The inverse operation of the natural logarithm is the exponential $e$

Thus Using the following property:

$e^{lnk} =k$

The equation now is:

$e^{ln10x} =e^{3}$

⇒$10x=e^3$

thus, x will be:

$x=\frac{e^3}{10}$