ln problem - # 2

\(\displaystyle 2\ln(2) + 3\ln(2) = ?\)

Jason,

Last time when you were in this forum - you were doing integration (calculus)?

You really don't know how to do this?

If the problem was 2 * x + 3 * x = ???? - could you do that?

You got too used to the crutch!!
 
\(\displaystyle 2\ln(2) + 3\ln(2) = 5\ln(2)\)

When the stuff inside the ln is the same, then you just add the coefficients, but leave the stuff inside the ln alone.
 
\(\displaystyle 2\ln(2) + 3\ln(2) = 5\ln(2)\)

When the stuff inside the ln is the same, then you just add the coefficients, but leave the stuff inside the ln alone.

\(\displaystyle 2\ln(2) + 3\ln(2) = 5\ln(2) = ln(2^5) = ln(32)\)
 
\(\displaystyle 2\ln(2) + 3\ln(2) = 5\ln(2)\)

When the stuff inside the ln is the same, then you just add the coefficients, but leave the stuff inside the ln alone.
ln(2) is just a number just like 8 or 564 or pi/2 or sqrt(2) is a number.
Here is a problem that you need to know how to do without a calculator: 7*98 + 3*98.
If you do not see the answer immediately then go back to the basic definition of multiplication which is repeated addition and look at the problem again.
 
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