Logarithms Convert and Evaluate

Expand: log₂x⁶

• xlog₂6

• log₂x - log₂6

• log₂x + log₂6

• 6log₂x

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Expand:

• 3log₅7x

• 3log₅x + log₅7

• log₅7 - 3log₅x

• 3log₅x - log₅7

Condense: log₅7 + 2log₅x

• log₅7x²

• log₅7x

• log₅7²x

• log₅7/x²

• True, subtraction between two logarithms is division in condensed form.

• True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

• False, subtraction between two logarithms is division within a single logarithm in condensed form.

Condense: log6 + logx