# Algebra 2

posted by .

Can someone please explain to me how to solve logarithmic equations? Some examples are: -5=log2X
3^5x+1= 40 and log6X+(log6)7=(log6)35
I hope that makes sense because logs are hard to type.

• Algebra 2 -

-5=log2X

-5 = log2x

2^-5 = x
x = 1/32

3^(5x+1)= 40
let's take the log of both sides

log(3^(5x+1)) = log40
(5x + 1) log3 = log40
5x+1 = log40/log3
etc.

log6X+(log6)7=(log6)35
log6(7x) = log6 35
"antilog" both sides
7x = 35
etc.

## Similar Questions

1. ### Math

Solve the equation. (the 6s are supposed to be sub-scripted, but I can't type subscripts) Problem: log6 7 - log6 x = 4 Choose one answer. a. 7/24 b. 7/1296 c. 7/4 d. 1296/7 I am so lost, can you please help me understand this?
2. ### Logs

log6(x+7)−log6x=2 Solve for x
3. ### Math

log6(x+7)−log6x=2 Solve for x
4. ### Math SAT Sheet

1.) Find the domain and range for: f(x)= 4x-20/ the square root of 36-x^2 2.) Solve the equation: log6 (x-11) + log6 (x-6) = 2 3.) Solve the inequality: x^2 - 2x - 3 is greater than 0
5. ### precalulus

Ok feeling kinda dumb because this isn't coming out right. I know it's simple. log6 (x -3) + log6(x -6) - log6(x + 1) = 2
6. ### algebra

Beer cans are right circular cylinders. My Algebraic Ale and Logarithmic Lager cans, from the Schmidt Brewery, have dimensional units called "brewskies". They have a volume (in cubic brewskies) equal to the solution of the number of …
7. ### Math

Which of the following is equal to log6(t + 1) − log6(t^2 − 1)?
8. ### Math

The problem I have to solve is log with base 2 ^6 multiply by log base 6 ^ 8. I use the change of base formula and got log6/log2 * log8/log6 Which become log6/log2 * log2()^3/ log 6 I'm stuck here thanks.
9. ### Logarithmic Algebra

let log2=a, log3=b, and log5=c. express the indicated logarithm in terms of a, b, and c. log6/25 log 100
10. ### ALGEBRA 2 (LOGARITHMIC FUNCTIONS)

These are some I chose to practice but I have a hard time knowing how to do it. The answers are online but that doesn't help. These deal with logarithmic functions etc. PLEASE HELP! THANKYOU 1.)solve the equation: 3^(x+1)=27^(x+3) …

More Similar Questions