Suppose loga(2) = b and loga(3) = c. Compute loga(108/a^3)

In accordance with algebra properties and relationship between logarithms and powers, the logarithm ㏒ₐ (108 / a³) is equal to the pseudolinear expression 2 · b + 3 · c - 3.How to solve a logarithmic expressionIn this problem we must determine the base of a given set of logarithms by using algebra properties and relationships between powers and logarithms. Now we proceed to solve:Step 1 - We get the following equations:㏒ₐ 2 = b, ㏒ₐ 3 = c   Step 2 - Now we add the other logarithm:㏒ₐ (108 / a³)Step 3 - By logarithm properties:㏒ₐ 108 - ㏒ₐ a³㏒ₐ (2² · 3³) - 3 · ㏒ₐ a㏒ₐ 2² + ㏒ₐ 3³ - 3 · 12 · ㏒ₐ 2 + 3 · ㏒ₐ 3 - 3Step 4 - By Step 1:2 · b + 3 · c - 3The logarithm ㏒ₐ (108 / a³) is equivalent to 2 · b + 3 · c - 3.To learn more on logarithms: https://brainly.com/question/20785664#SPJ1