Question

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

Answer 1

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