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

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 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 9.2

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

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

Express the following in the exponential form:
q = log_a p

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

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

Find the value of: log ₁₀ 1000

Find the value of: log ₂128

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

If log ₁₀ a = x, and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c

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