Write the logarithmic equation in exponential form. $$\log _ { 5 } 25 = 2$$
A) $5 ^ { 25 } = 2$
B) $5 ^ { 2 } = 25$
C) $5 ^ { 2 } = 10$
D) $25 ^ { 5 } = 2$
E) $5 ^ { 2 } = 55$

Question

Write the logarithmic equation in exponential form. $$\log _ { 5 } 25 = 2$$ 
A) $5 ^ { 25 } = 2$
B) $5 ^ { 2 } = 25$
C) $5 ^ { 2 } = 10$
D) $25 ^ { 5 } = 2$
E) $5 ^ { 2 } = 55$

Quizplus · Accepted Answer

In exponential form, the base is raised to the exponent to equal the result of the logarithmic equation. Therefore, the exponential form of $$\log _ { 5 } 25 = 2$$ is $$5 ^ 2 = 25.$$ Choice B matches this format and is the correct answer.

Write the Logarithmic Equation in Exponential Form log⁡525=2\log _ { 5 } 25 = 2log5​25=2

Write the Logarithmic Equation in Exponential Form $\log _ { 5 } 25 = 2$