Solving Logarithmic and Exponential Equations

Logarithmic pt.1&2

100

log₄(x+2)=6

4094=x

200

log₁₆(4x-9)=3

1,026.25=x

300

log₁₀₀(5x-3)=2

2,000.6=x

400

lo6₇(7x+13)=log₇(2x+49)

x=7.2

500

log₂x+log₂(x-3)=2

x=4,-1

Exponential pt.1

100

8^x+4=8⁷

x=3

200

4^3x+2=4³

x=1/3

300

5^8x+3=5^2x+4

x=2/7

400

5^-n=5^-3n

n=0

500

7³ⁿ=7^-n-1

n=-1/4

Exponential to Logarithmic

100

3^x=21

x is approximately 2.77

200

4^x=100

x is approximately 3.32

300

15^m=75 

m is approximately 1.59

400

12^x=96^x

x is approximately 1.83

500

4^-x=36

x is approximately -2.58