Question

Solve this equation. Please show work. log(4m-10)=1

Answer 1

Answer:

m=5

Step-by-step 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>$\frac{5}{2}$

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