foul submission is used for your score 1 1 points LarTrig9 5

foul submission is used for your score. 1. -1 points LarTrig9 5.3.002. Fill in the blank. The change-of-base formula for base e is given by loga x log a in a log a n X log x in a log a In a log x n x log x In a log a in x Need Help? ReadI Talk to a Tutor 2. O -2 points Lar Trig9 5.3.007. Rewrite the log githm as a ratio of common logarithms and natural logarithms. log3 43 (a) common logarithms (b) natural logarithms Watch Talk to Tutor Need Help? LRead

Solution

1.log_a x=log₁₀ x /log₁₀ a=log x/log a=log _ex/ log_e a=lnx/lna

2.log₃ 43=log₁₀ 43/log₁₀ 3=( log₁₀ 43)/(ln3/ln10)(common log/natural log)

3 log _1.3 x=log₁₀ x/log₁₀ 1.3=log₁₀ x/ (ln 1.3/ln10)

4. log₆ 9=log₁₀ 9/log₁₀ 6=log₁₀(9/6)=log₁₀ (3/2)=log₁₀ 3-log₁₀2=0.4771-0.3010=0.1761