Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.
Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.
(2x+1)*log(5) = log(8)
2x+1 = log(8)/log(5) = ~ 1.29203
2x = 0.29203
Answer:
3
Step-by-step explanation:
its 3 if u put it simply.
Answer:
Conner's work is correct
Step-by-step explanation:
In exponent multiplication, if base are same, add the exponents.

For example,
5² * 5³
5² = 5 * 5
5³ = 5* 5 * 5
5² * 5³ = 5 * 5 * 5 * 5 * 5 = 5⁵ = 5⁽²⁺³⁾
2.
h(x) = 1/(x - 1)
<em><u>Replace h(x) with y.</u></em>
y = 1/(x - 1)
<u><em>Swap x and y.</em></u>
x = 1/(y - 1)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by (y - 1)</u></em>
x(y - 1) = 1
<em><u>Distributive property.</u></em>
xy - x = 1
<em><u>Add x to both sides.</u></em>
xy = 1 + x
<em><u>Divide both sides by x.</u></em>
y = 1/x + 1
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 1/x + 1 is the inverse function for question 2.
4.
h(x) = 4/(x + 2)
<em><u>Replace h(x) with y.</u></em>
y = 4/(x + 2)
<em><u>Swap y and x.</u></em>
x = 4/(y + 2)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by y + 2.</u></em>
x(y + 2) = 4
<em><u>Distributive property.</u></em>
xy + 2x = 4
<em><u>Subtract both sides by 2x.</u></em>
xy = 4 - 2x
<em><u>Divide both sides by x.</u></em>
y = 4/x - 2
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 4/x - 2 is the inverse function for question 4.