Math Help Forum: Logarithms and Exponents.

Hi. This is sort of a mathematical emergency. My final exam is tomorrow and I can't do logarithms for my life. Below are problems in the text I really just can't do.

1. log(base 3)100- log(base 3)18- log(base 3) 50
2. ln(ln e^e^200)
3. ln (3x^2/(x+1)^10) (it's the natural log of the entire thing so I put it in parentheses)

There were easier ones that followed the law of logs but these don't seem to apply to them.

Find the solutions of the exponential equation:
1. 3^2x-1 = 5
2. x^2e^x + xe^x - e^x = 0 (the first part is x raised to the 2nd power multiplied by e raised to the x power)
3. log(base 2)(x^2 - x - 2) = 2

Can't do these exponents either... I'm not even sure what I'm supposed to solve for.

Originally Posted by butlerw2

Hi. This is sort of a mathematical emergency. My final exam is tomorrow and I can't do logarithms for my life. Below are problems in the text I really just can't do.

1. log(base 3)100- log(base 3)18- log(base 3) 50
2. ln(ln e^e^200)
3. ln (3x^2/(x+1)^10) (it's the natural log of the entire thing so I put it in parentheses)

There were easier ones that followed the law of logs but these don't seem to apply to them.

Find the solutions of the exponential equation:
1. 3^2x-1 = 5
2. x^2e^x + xe^x - e^x = 0 (the first part is x raised to the 2nd power multiplied by e raised to the x power)
3. log(base 2)(x^2 - x - 2) = 2

Can't do these exponents either... I'm not even sure what I'm supposed to solve for.

then you need to learn how ...

Basic Log Rules / Expanding Log Expressions

Solving Exponential Equations from the Definition

Solving Logarithmic Equations from the Definition