If Log 10 M = N, Express the Following in Terms of M: 10 2n+1

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

Sum

10 ²ⁿ⁺¹
log ₁₀ m = n
⇒ m = 10 ⁿ
∴ 10 ²ⁿ⁺¹
= 10 ²ⁿ . 10¹
= (10ⁿ)² . 10
= 10 m².

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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 6.2

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

Find the value of: log ₃ 81

Find the value of: log ₅ 125

Find the value of: log _aa³

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

If log ₁₀x = p, express the following in terms of x: 10^p+1

If log ₁₀ x = p, express the following in terms of x: 10^2-p

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