If Log 10 X = P, Express the Following in Terms of X: 102-p

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

Sum

10^2-p
log ₁₀ x = p
⇒ x = 10^p
∴ 10^2-p
= 10² . 10^-p
= 100 . x^-1
= `(100)/x`.

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 7.4

Express the following in the exponential form:
log₁₀ 0.001 = -3

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

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

Find the value of: `"log" _(1/5) 125` = x

Find the value of: log ₃ 81

Find the value of: log ₂ 8

Find the value of: `"log_sqrt(3) (3sqrt(3))`

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

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

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