Solving Exponential Equations (lacking a common base)
7^x-2=7

x = 3

Step-by-step explanation:

7^(x-2) = 7¹

Equate powers

x-2 = 1

x = 3

x=3

Step-by-step explanation:

7^x-2=7

7^x-2=7^1

x-2 = 1

x = 1+2 = 3

lets check the answer

7^x-2=7

7^3-2=7

7^1 = 7

7=7

LHS = RHS

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

answer: 0,6

step-by-step explanation:

this would make it the y intercept.