Let log_b 4= G and log_b9= S. Write the expression in terms of G and S

[SOLVED] Let log_b 4= G and log_b9= S. Write the expression in terms of G and S
See Answers (1)

Accepted Answer

S-G is the expression in terms of G and S What is the expression in terms of G and S?Given: log_b 4 = G, log_b9 = S and log_b 9/4To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.logₓ (a/c) = logₓa - logₓcThus,  log_b (9/4) = log_b 9 - log_b 4  = S - G   (Note: log_b 4 = G and log_b9= S)Therefore, the expression log_b (9/4) in terms of G and S is S-GLearn more about logarithm rules on:https://brainly.com/question/28596566#SPJ1