Solve Equation Involving Logarithm

How do you isolate the logarithm in the equation log_(4)(x) + 5 = 12?

To isolate the logarithm in the equation log_(4)(x) + 5 = 12, you need to subtract 5 from both sides. This gives log_(4)(x) = 12 - 5, which further simplifies to log_(4)(x) = 7.

Isolating the Logarithm in the Equation

To isolate the logarithmic term in the equation log(4)(x) + 5 = 12, you need to subtract 5 from both sides of the equation. The reason is that doing so removes the '+5' on the left-hand side, resulting in a streamlined equation that only includes the logarithmic term on that side of the equation. After subtracting 5 from both sides, you would get log(4)(x) = 12 - 5. Simplifying the right-hand side then gives you log(4)(x) = 7.

To isolate the logarithm in the equation, you should first subtract 5 from both sides. The equation then becomes log_(4)(x) = 12 - 5. Simplifying the right side gives log_(4)(x) = 7. This is the equation with the logarithm isolated.

For further study on logarithms and how to solve equations involving them, you can explore more resources such as textbooks, online tutorials, and worksheets. Understanding the principles behind logarithms can help you in various mathematical calculations and problem-solving scenarios.