Question

Can someone help me solve this logarithm function

Answer 1

`\boxed{\sf{x=(25)/(2)=12.5}}`

Explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

log x + log8=2

`\sf{\log _(10)(x)+\log _(10)(8)=2}`

First, subtract by log₁₀(8) from both sides.

`\sf{\log _(10)(x)+\log _(10)(8)-\log _(10)(8)=2-\log _(10)(8)}`

Solve.

`\sf{\log _(10)(x)=2-\log _(10)(8)}`

`\sf{\log _(10)(x)=2-\log _(10)(8)=\boxed{\sf{x=(25)/(2) }}`

• Therefore, the correct answer is x=25/2=12.5.

I hope this helps you! Let me know if my answer is wrong or not.