Solve this equation. Please show work.

log(4m-10)=1

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that (x)=b is equal to x= so ... 4m-10=

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>

6. Check if the solution is in the defined range so ... m=5

2x3 – 6x2 – 14x + 24 square centimeters

if i'm wrong i'm sorry : )

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.