Question

Determine the value of x which satisfies the following equation. log7(3x+43)=3

a) 300
b) 343
c) 20
d) 48
e) 100

Answer 1

To determine x, rewrite the equation in exponential form. 7^3 = 3x + 43. Solve for x by isolating it on one side of the equation. The value of x is 100.

Step-by-step explanation:

To determine the value of x which satisfies the given equation, we can start by rewriting the equation in exponential form. Since log base 7 is used, the exponential form is 7 raised to the power of 3 equals 3x + 43.

7^3 = 3x + 43

343 = 3x + 43

Subtract 43 from both sides:

343 - 43 = 3x

300 = 3x

Divide both sides by 3 to isolate x:

x = 100

Therefore, the value of x that satisfies the equation is 100. Hence, the correct option is e) 100.