Express the Following in the Exponential Form: Log √ 6 ( 6 √ 6 ) = 3 - Mathematics

Express the following in the exponential form:
`"log"_sqrt(6) (6sqrt(6))` = 3

Sum

`"log"_sqrt(6) (6sqrt(6))` = 3
⇒ `6sqrt(6) = (sqrt(6))^3`.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 2.11

Express the following in the exponential form:
log₁₀ 0.001 = -3

Express the following in the exponential form:
log_b a = c

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Find x in the following when: log_x 125 = 3

Find x in the following when: log ₄ x = -4

Find the value of: log ₅ 125

Find the value of `log_(1/2)16`.

If log ₁₀ x = a, express the following in terms of x: 10 ^{a + 3}

If log ₁₀ x = a, express the following in terms of x: 10^{2a -3}

If log ₁₀ m = n, express the following in terms of m: 10 ^-3n