Home » Find the value of log10 r + log10 r2 + log10 r4 + log10 r8…

Find the value of log10 r + log10 r2 + log10 r4 + log10 r8…

Find the value of log₁₀ r + log₁₀ r² + log₁₀ r⁴ + log₁₀ r⁸ + log₁₀ r¹⁶ + log₁₀ r³² = 63

A.
10^-1
B.
10^o
C.
10
D.
10²

Correct Answer: Option C

Explanation

log₁₀ r + log₁₀ r² + log₁₀ r⁴ + log₁₀ r⁸ + log₁₀ r¹⁶ + log₁₀ r³² = 63
log₁₀r⁶³ = 63⁶³ = 10⁶³
∴ r = 10