solve for x. log5 x = 1/2

use the One-to-One Property to solve the equation for x. log5(x + 1) = log5 6

Solve the equation. 8^x-1=32^3x-2

Solve x + 1 > 10,x + 11 > 20,and x + 21 > 30. Describe a pattern. Then use the pattern to predict the solution of x + 9,991 > 10,000.

Solve for all possible values for x in each equation. a. -2|x|=-8, b. |x-3.2|=4.7, c. |9+6x|=4, d. |-7x-7|=1

Solve the differential equation. x^2y’-y=2x^3e^-1/x

Define a sequence $\{g_n\}$ as $g_1=c_1$ and $g_2=c_2$ for constants $c_1$ and $c_2$, and $g_n=g_{n-1}+f_{n-2}$ for $n\geq 3$. Prove that $g_n=g_1f_{n-2}+g_2f_{n-1}$ for all $n\geq 3$.

use the properties of logarithms to expand the expression as a sum, difference, and or constant multiple of logarithms. (Assume all variables are positive.) log5 x^2 / y^2 z^3

What is the solution of the equation x=8? Use your answer to explain why the goal in solving an equation is to get the variable alone on one side of the equation.

Solve each equation for y. Then find the value of y for each value of x. y + 2x = 5; X = -1 , 0, 3

(a) To find the x-intercept(s) of the graph of an equation, we set _____ equal to 0 and solve for _____. So the x-intercept of 2y = x + 1 is _____. (b) To find the y-intercept(s) of the graph of an equation, we set _____ equal to 0 and solve for _____. So the y-intercept of 2y = x + 1 is _____.

Solve the equation for y. 6y + x = 8

Solve. How many solutions does the equation |x + 7| = 1 have?

Hannah wants to solve 0.04x + 1 = 2.2. "I think that I need to use my calculator because of the decimals," she told Michael. Suddenly Hannah blurted out, "No, wait! What was the way we learned to rewrite a proportion equation without fractions? Maybe we can use that idea here to get rid of the decimals." a. What is Hannah talking about? Explain what she means. Then rewrite the equation so that it has no decimals. b. Now solve the new equation (the one with no decimals). Check your solution.