01log.1a1log.2aabnbanaloglog.3bnbaanlog1log.4abbalog1log.5NMNMaaaloglog)(log.6NMNMaaalogloglog.7babalog:.8对数恒等式abbccalogloglog.9换底公式:NbbaaNlog.10指对互换公式(注意:公式成立的条件;公式正用与逆用。如xxaalog2log2)11.解指数方程:先化成同底指数,)()()()(xgxfaaxgxf12.解对数方程:先化成同底对数,)()(0)(0)()(log)(logxgxfxgxfxgxfaa13.解指数不等式:先化成同底指数,)()(xgxfaa(1)当10a时,原不等式同解于)()(xgxf;(2)当1a时,原不等式同解于)()(xgxf。14.解对数不等式:先化成同底对数数,)(log)(logxgxfaa(1)当10a时,原不等式同解于)()(0)(0)(xgxfxgxf;(2)当1a时,原不等式同解于)()(0)(0)(xgxfxgxf。15.形如02cbkakxx(或02cbkakxx):换元,令tkx,先解t再解x。16.形如0log)(log2cxbxakk(或0log)(log2cxbxakk):换元,令txklog,先解t再解x。