Question

Solve In2+ In x=5

Answer 1

Mind checking your textbook or notes for the 3 "rules of logs"?
The first one is:
(1) ln a + ln b = ln a*b (the log of a product (example: a*b) is the sum of the logs of the multiplicands a and b (example: ln a + ln b. So ln (a*b) = ln a + ln b.
(2)
(3)

Now apply Rule (1) to ln 2 + ln x = 5. Combine the 2 separate logarithmic terms into one. You'll get the logarithmic equation ln ( ?? ) = 5.

Which property of logarithmic and exponential functions could you then use to solve for x?

Answer 2

I have no idea.

Answer 3

Have you your textbook and/or class notes available? If so, have you looked up any of the material that deals with logarithmic equations and the inverse function relationship of y = ln x and y = e^x? You will need to know this material. Please start by asking questions, even very basic ones; then you'd be more in control of your own learning.

Answer 4

I just want the answer. Thats all. I need help.

Answer 5

Well, um, uh, uh. The correct rule of logs to apply here is ln a + ln b = ln a*b. In words, the logarithm of a product, a*b, is equal to the SUM of the logs of the two factors.

So: ln a + ln b = ln a*b
ln 2 + ln 5 = ln (2*5) = ln (?)