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

Answer 1

just use the definition of logarithm :

\[\large e^{x}=b \implies x = \ln (b)\]

Answer 2

exponent = logarithm

Answer 3

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 :
\[\large 2x = \ln (1.4)\]

Answer 4

oh so that one was right then thanks

Answer 5

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

Answer 6

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

Answer 7

all your answers are correct, good job!

Answer 8

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

Answer 9

np:)