the solution of the equation is 2.23 ⇒ answer b
step-by-step explanation:
* lets revise the meaning of exponential function
- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,
b ≠ 1, and x is any real number
- it has a constant base b
- it has a variable exponent x
- to solve an exponential equation, take the log or ln of both sides,
and solve for the variable
* lets solve the problem
∵
- the base is 7 and the exponent is x
- insert ㏑ in both sides
∴
- use the rule
∴ x ㏑(7) = ㏑(77)
- to find x divide both sides by ㏑(7)
∴
* the solution of the equation is 2.23 to the nearest 2 decimal places