If Iog 10 a = X, Log 10 B = Y and Log 10 C = Z, Find 103y -1 in Terms of B

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

Sum

10^{3y -1} in terms of b
log₁₀ b = y
⇒ b = 10^y
10^{3y -1}
= (10 ^y)³ . 10^-1
= `"b"^3/(10)`.

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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 9.2

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:
q = log_a p

Find x in the following when: log _x 49 = 2

Find x in the following when: log ₈ x = `(2)/(3)`

Find x in the following when: log ₃ 243 = x

Find x in the following when: log ₁₀ 0.0001 = x

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 ²ⁿ⁺¹

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