This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

8.3 Solving Logarithmic Equations

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

Olof Rewriting Exponentials into Logs

�1� log,

36=2 �2� bgzg, 17=21 30122=144

62=36 289¥17 log ,z144=2

�4� 9-2=1 @8b=a81

bggtE= . 2. bgga - b

Find the unknown.

6064×-8 014=256

�8�

64×=4

�9� 6gzx=5bg#8=× log

,<256 =×

z5=×x.to#=I/=bg256_..y,

toga,<

4 =× 32=11.

log642log4x-log4log64ijt1@logbX-3I1Olog.x

= -2

63 . × 19'

2=×-216 '

- x 1- =×

361

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

had Solvinglogsl Exponential Functions

1- isolate the logtermorexpmenliatterm .

2. Use "B0B " orusetheinversetogetunknmmatme .

3.

solve using appropriate technique .

Examples] Solve the equation .

105×-21=14 �2� 2( 332×-5=117 @hgz4x=55=35 2134=122

109535=11 (3P×= 61 25 '

- 4x

X= 2.209 log}

61 =2x 2¥<

bg#=x 8=×2

�4� logdsxtll) +5=8 50314×7-8=106314×9=114

bgdsxtll ) =3 4*4=38

63=5×+1169+38 =× . 4

216=5×+11 wg+38t4=X205=5×41

=×.

6.624€