# precalculus

solve the logarithm equation show work.

log_7(x-8)- log_7(x-2)=1

1. 👍
2. 👎
3. 👁
1. log7 [(x-8)/(x-2)] = 1

[(x-8)/(x-2)] = 7*1 = 7

x - 8 = 7 x - 14

6 x = 6
x = 1

1. 👍
2. 👎

## Similar Questions

1. ### Math

The equation V=1/3 Bh gives the volume V of a pyramid, where B is the area of the base and h is the height. Solve this equation for B. Please help me and show your work thanks

2. ### algebra

solve the following equation algebraically. show your work. 17 = -13 - 8x

3. ### Algebra 1

Solve the equation by factoring, show all work. 5x^2=80

4. ### Algebra

Solve the system of equations using substitution. x + 4y = -5 3x - 8y = 45 When I tried to solve it, I got x=-17 and y=-3. When I plugged these into the first equation, it didn't work out at all. Could someone please show me the

1. ### pre calculous

use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the

2. ### algebra

Solve the following equation. Show all your work. (x)/(x-2)+(x-1)/(x+1)=-1

3. ### Math - Logarithm

Solve the following logarithm equation. Please show all of your work. log (5 + x) – log(x – 2) = log 2

4. ### ALGEBRA 1!PLZ HELP!

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve the first equation for y. y = 2x-5 Substitute that for y in the second equation and solve for x. Then use the value of x to substitute back

1. ### Algebra

log_7 1 = ???

2. ### Math

Evaluate the expression for the given value of the variable. Show your work. [-4b-8]+[-1-b^2]+2b^3;b=-2 Solve the equation. Check for extraneous solutions. 9[9-8x]=2x+3. Show your work. I really need help with both of these

3. ### ALGEBRA

SOLVE THE FOLLOWING EQUATION FOR U 4U + 8 = -12 could you please show the work