已知2a=3b=m,且1a+1b=2,則實數m的值為() A. 6B. 16C. 6D.±6

已知2a=3b=m,且1a+1b=2,則實數m的值為() A. 6B. 16C. 6D.±6

∵2a=3b=m∴m>0∵2a=m 3b=m∴1a=logm2,1b=logm31a+1b=logm2+logm3=logm6=2∴m=6故選A.