the solution of the equation is 2.23 β 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 β 0, b > 0 ,
b β 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
β΅
- the base is 7 and the exponent is x
- insert γ in both sides
β΄
- use the rule
β΄ x γ(7) = γ(77)
- to find x divide both sides by γ(7)
β΄
* the solution of the equation is 2.23 to the nearest 2 decimal places