If Log 10 X = A, Express the Following in Terms of X: 10 a + 3 - Mathematics

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

Sum

10 ^{a + 3}
log ₁₀ x = a
⇒ x = 10^a
∴ 10 ^{a + 3}
= 10 ^a . 10³
= x .1000
= 1000x.

shaalaa.com

Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 5.2

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:
log₅ a = 3

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

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

Find the value of: log ₁₀ 1000

Find the value of: log ₂128

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
10^2x-3in term of a

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