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.

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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 5.2

Express the following in the exponential form:

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

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 ₂ 0.5 = x

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

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

Find the value of: log ₅`(1)/(25)`

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

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

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