Express the Following in the Exponential Form: Log5 a = 3

Express the following in the exponential form:
log₅ a = 3

Sum

log₅ a = 3
⇒ a = 5³.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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Chapter 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 2.07

Express the following in the exponential form:
log₂ 128 = 7

Express the following in the exponential form:
log₃ 81 = 4

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

Express the following in the exponential form:

`"log"_25 sqrt(5) = (1)/(4)`

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

Find x in the following when: log ₂ 0.5 = x

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100

State true or false in the following:
If log ₁₀ p = q, then 10^p = q