Verify each of the following by evaluating the logarithms.log10(103) + log10(104) = log10(107)

Answer:log₁₀(10³) + log₁₀(10⁴) = log₁₀( 10³ × 10⁴ )= log₁₀( 10³⁺⁴)= log₁₀( 10⁷)Step-by-step explanation:Given:log₁₀(10³) + log₁₀(10⁴) = log₁₀(10⁷)Now, we know the property of log function thatlog(A) + log(B) = log(AB)therefore, applying the above property on the LHS, we getlog₁₀(10³) + log₁₀(10⁴) = log₁₀( 10³ × 10⁴ )also,xᵃ + xᵇ = xᵃ⁺ᵇtherefore,log₁₀( 10³ × 10⁴ ) = log₁₀( 10³⁺⁴)= log₁₀( 10⁷)Hence, LHS = RHSHence proved