Check answers?

Use natural logarithms to solve the equation.
e^2x = 1.4
Round to the nearest thousandth. I have 0.168

Solve ln (3x – 6) = 4. Round to the nearest thousandth. I got 20.199 after rounding

Solve ln (2x + 3) = 7 Round to the nearest thousandth. I have 546.817 after rounding

Question

Check answers?

Use natural logarithms to solve the equation.
e^2x = 1.4   
Round to the nearest thousandth.  I have 0.168

Solve ln (3x – 6) = 4.  Round to the nearest thousandth.  I got 20.199 after rounding

Solve ln (2x + 3) = 7 Round to the nearest thousandth. I have 546.817 after rounding

ganeshie8 · Answer

just use the definition of logarithm : 

$$\large  e^{x}=b \implies x = \ln (b)$$

ganeshie8 · Answer

exponent = logarithm

ganeshie8 · Answer

In your first question, you have :
$\large e^{2x} = 1.4   $

therefore $2x$ is the logarithm of $1.4$. using math symbols we write it as :
$$\large  2x = \ln (1.4)$$

anonymous · Answer

oh so that one was right then thanks

ganeshie8 · Answer

oh you have the answer already, 
one sec let me check

ganeshie8 · Answer

0.168 is correct for the first question http://www.wolframalpha.com/input/?i=ln%281.4%29%2F2

ganeshie8 · Answer

all your answers are correct, good job!

anonymous · Answer

thank you for checking I appreciate it. Wasn't sure how I could do that. :)

ganeshie8 · Answer

np:)