If Log 10 X = P, Express the Following in Terms of X: 10p+1 - Mathematics

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

Sum

10^p+1
log ₁₀x = p
⇒ x = 10^p
∴ 10^p+1
= 10^p . 10¹
= 10x.

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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 7.2

Express the following in the exponential form:
log₂ 128 = 7

Express the following in the exponential form:

`"log"_2 (1)/(32)` = -5

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

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

Find x in the following when: log ₄ 0.0625 = x

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

Find the value of: log ₁₀ 0.0001

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

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

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