Exponential and Logarithm

nth term of a sequence

100

a₁=3, d=7 find the 20th term.

136

200

a₁=-10, d=2 find the 50th term.

88

300

a₁=7, d=-8 find the 75th term.

-585

400

a₁=0.5, d = 0.25 find the 80th term.

20.25

500

a₁=-1.25, d= 0.5 find the 100th term.

48.25

Summation

100

a₁=10, a₂₆=123, n =26. Find the sum.

1729

200

a₁=-125, a₆₅=12, n =65. Find the sum.

-3672.5

300

a₁=0.5, a₂₃=12.25, n=23. Find the sum.

146.625

400

a₁=

3⁴=x-4

500

Log₄(3x+5)=3

4³=3x+5

One - to - one Exponential

100

3^2x=81

x=2

200

4^(3x-9)=1024

x=14/3=4.67

300

6^(2x-2)=216^x

x=-2

400

2^2(x+3)=2^(x-10)

x=-16

500

5^(-2x+1)=5^(3x+8)

x=-7/5

Exponential Equations

100

3^x=121

x=4.37

200

4^(x+1)=10

x=0.66

300

5^(2x+5)=16

x=-1.64

400

4^(3x-10)=25

x=4.11

500

11^(0.5x-8.1)=49

x=19.45

Change of Base

100

Log₆(14)=x

x=1.47

200

Log₁₂(120)=x

x=1.93

300

Log₂₁₆(6)=x

x=1/3

400

Log₁₃(187)=x

x=2.04

500

Log_0.6(1.4)=x

x=-0.66