log以3为底[log以4为底（log以5为底a的对数）]=log以4为底[log以3为底（log以5为底b的对数）]=0,则a/b是?
问题描述：
log以3为底[log以4为底（log以5为底a的对数）]=log以4为底[log以3为底（log以5为底b的对数）]=0,则a/b是?
计算
答
log以3为底[log以4为底（log以5为底a的对数）]=log以4为底[log以3为底（log以5为底b的对数）]=0
log以4为底（log以5为底a的对数）=1
log以3为底（log以5为底b的对数）=1
log以5为底a的对数=4
log以5为底b的对数=3
a=5^4
b=5^3
a/b=5