Exercise
21+log918−log921+log94.5=
Final Answer
21+log918−log921+log94.5=2
Solution
Using Logarithm Rules we get:
21+log918−log921+log94.5=
=21+log992−log92−1+log94.5=
=21+log932−log92−1+log94.5=
=21+log93+log92−log92−1+log94.5=
=21+log93+log92−(−1)log92+log94.5=
=21+log93+log92+log92+log94.5=
=21+log39log33+log92+log92+log94.5=
=21+log332log33+log92+log92+log94.5=
=21+2log33log33+log92+log92+log94.5=
=21+21+log92+log92+log94.5=
=21+21+log9(22)+log94.5=
=21+21+log92+log94.5=
=1+log92+log94.5=
=1+log92+log929=
=1+log92+log99−log92=
=1+log92+1−log92=
=1+1=2