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# Exponential Function

### module 23

5^x=125 Rewrite equation so 125 is expressed as a power of 5. 5^x=5^3. Therefore x=3
81^x-1=9^3x Write 81 & 9 as powers of 3. (3^4)^x-1=(3^2)^3x. simplify 3^2x-2=3^9x. Put the exponents to equal 2x-2=9x and then solve for x.
y=240(2x7) Plug in the numbers you know. 30=t. Multiply 0.015 and 30 which equals 0x45. Then take 2.7 ^0.45 power 1.56. the answer comes to 375.
16^x=32 x=5/4
Find the amount Tom owes at the end of 4 years if \$5200 is loaned to her at a rate of 5% compounded monthly. \$6348.66 use A=P(1+r/n)^nt P=\$5200 r=5%=0.05 t=4
Graph y=7^x Get ordered pairs by making a x,y chart. Using 0, -1, 1. you get (0,1)(-1,1/7)(1,7). Then graph the points and draw a line through them.
625^x=3125 x=5/4
27^x-1=81^3x x=-1/3
3^x=81 x=4
125^x=625 x=4/3
Created by: samanthazerilli