1.evaluate without using a calculator

2logx+1=log900

2.solve the following equation

A. 3log(x-2)=4.714
B. 16^x-3 = 8^2x+1
C.10^2x=1/100

1. 👍 0
2. 👎 0
3. 👁 229
1. 2logx + 1 = log900
since 1 = log10,
2logx + log10 = log900
log x^2 + log10 = log900
log(10x^2) = log 900
10x^2 = 900
x^2 = 90
x = √90

3log(x-2) = 4.714
log(x-2)^3 = 4.714
(x-2)^3 = 51760.68
x-2 = 37.268
x = 39.268

16^(x-3) = 8^(2x+1)
since 16 = 2^4 and 8 = 2^3,
2^(4(x-3)) = 2^(3(2x+1))
4x-12 = 6x+3
2x = -15
x = -15/2

10^2x = 1/100
10^2x = 10^-2
2x = -2
x = -1

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math check my answers

1. Evaluate. 8d - 10 for d = 4 A.32 B.22*** C.26 D.46 2. write an algebraic expression for the sum of 3 coins and c coins. A.c + 3*** B.c/3 C.3c D.c-3 3. Find the solution of the equation from the given numbers. x - 2 =16: 14, 18,

2. ### Math. Need help

1.if g=5 and k=1, evaluate 9+gk a. 13 b. 14 c. 15 d. 16 2.Evaluate a-b^2/b if a = 10 and b = 2. a. 1 b. 3 c. 8 d. 32 3.Evaluate 3xy^2 - y if x = 2 and y = 5. a. 26 b. 30 c. 120 d. 145 4.Evaluate 2d + d^2/3 if d = 6. a. 4 b. 12 c.

3. ### PreCalculus

The question is: -5e^(-4x+2) +3= 1/2log(1+x^2) Solve with a calculator for the smallest possible solution, with steps. So this hasn't really been covered in my schoolwork so I'm trying to work off what I have learned. I started

4. ### algebra

Solve the pair of simultaneous equations log(x+y)=0, 2logx=log(y-1)

1. ### Math

Use a calculator to evaluate the trigonometric function. Round to four decimal places. Make sure that your calculator is in the correct angle mode. 1) csc 2pi/5 1.3213? 2) sec 0.7 1.3075?

2. ### Substitution Method in Algebra!HELP PLZ!

Use the Substitution method to solve the system of equations. 3x + y = 5 4x - 7y = -10 multiply first equation by 4 multiply second equation by 3 thus both equations have same x or y value in this case it is the x value. 12x + 4y

3. ### Triggggggg ;(

Use your graphing calculator to graph y = cos^−1(x)in degree mode. Use the graph with the appropriate command to evaluate each expression. (a)cos^−1(√2/2) = ___________˚ (b)cos^−1(-1/2) = _____________° (c)arccos

4. ### calculus

Use the Intermediate Value Theorem to prove that the equation has a solution. Then use a graphing calculator or computer grapher to solve the equation. 2x^3-2x^2-2x+1=0 i am completely lost & have no idea where to start.

1. ### CALCULUS

Use a graphing calculator to solve the equation -3 cos t = 1 in the interval from 0 ≤ θ ≤ 2π Round to the nearest hundredth. so i put it in a graphing calculator online and now i understand what i am supposed to write or do

2. ### ALGEBRA 1!PLZ HELP!

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve the first equation for y. y = 2x-5 Substitute that for y in the second equation and solve for x. Then use the value of x to substitute back

3. ### math

What is the first step in solving the linear system {2x − 3y = 11 {−x + 5y = −9 by the substitution method in the most efficient way? A. Solve the first equation for x. B. Solve the first equation for y. C. Solve the second

4. ### Math

Use a graphing calculator to solve the equation -3cost=1 in the interval from.0