# math

243^(.2x)= 81^(x+5)

1. 👍
2. 👎
3. 👁
1. both 243 and 81 are powers of 3
243 = 3^5 and 81 = 3^4

243^(.2x)= 81^(x+5)
(3^5)^(.2x) = (3^4)^(x+5)
3^x = 3^(4z+20)

If the bases are the same, for the equation to be true, obviously the exponents have to be the sam

so x = 4x+20
x = -20/3

1. 👍
2. 👎

## Similar Questions

1. ### physics

The mass of the sled and its two riders in Figure 5.5 is 243 kg. Find the magnitude of the centripetal force that acts on the sled during the turn with a radius of (a) 33.0 m and (b) 24.0 m.

2. ### ALGEBRA

A store sells five models of cameras for \$190.00, \$420.00, \$270.00, \$300.00, and \$420.00. If the sales tax rate is 6%, what are the mean, median, mode, and range of the total cost of the cameras? • mean = \$318.00 median =\$339.20

3. ### algebra

what is the 10th term of the sequence 81,27,9 can someone please explain the steps. possible answers; 1/729 1/243 1/81 1/810

4. ### math

Arrange the pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40) (12, 32) and (18, 48) (27, 12) and (72, 32) (45, 15) and (60, 20) (27, 2) and (243, 18) (18, 63) and (24, 84) (63, 9)

1. ### Algebra II

Please check answers: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x= -2. My answer: -2/25 Solve 64^x/=5/2 Thanks.

2. ### Algebra II

Write the equation log243(81)=4/5 in exponential form. My answer is 243^4/5=81. Evaluate 9^log9(54). My answer is 6. Are these correct?? Thanks

3. ### Algebra II

write an explicit formula for the sequence then find the fifth term a_1 = 3, r = -3 a. a_n = 3*(-3)^n-1; 243 b. a_n = -3*(3)^n-1; -243 c. a_n = 3*(3)^n; 243 d. a_n = 3*(-3)^n; -729 thank u!!

4. ### Physics

three horizontal forces are pulling on a ring at rest F1 is 6.25N at a 180 degree angle and F2 is 8.90 N at a 243 degree direction what is the x component of F3

1. ### Number sequence

Find the next 3 numbers of this sequence 243, 81, 27.

2. ### math

Find the fifth term of a geometric sequence whose fourth term is 8/9 and whose seventh term is 64/243.

3. ### a

Write the next two terms in the pattern. 9, 27, 81, 243, ___, ___,

4. ### Math

Evaluate 6 log2 ∛64 +10log3 (243)^1/5)