Question

Solve this equation. Please show work.

log(4m-10)=1

Answer 1

m=5

Explanation:

1. Convert the logarithm into exponential form using the fact that
`log_(a)`(x)=b is equal to x=
`a^(b)` so ... 4m-10=
`10^(1)`

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>
`(5)/(2)`

6. Check if the solution is in the defined range so ... m=5