Answer: 1090.63
Step-by-step explanation:
ln (x + 6) = 7
x + 6 = e⁷ applied e to both sides
x = e⁷ - 6 subtracted 6 from both sides
x = 1090.633 input into calculator
x = 1090.63 rounded to the nearest hundredth (2 decimal places)
Using an exponential equation, the solution is given by:
[tex]x = e^7 - 6[/tex]
It is given by:
[tex]\ln{(x + 6)} = 7[/tex]
To isolate x, we apply the exponential to both sides of the equation, hence:
[tex]e^{\ln{(x + 6)}} = e^7[/tex]
[tex]x + 6 = e^7[/tex]
[tex]x = e^7 - 6[/tex]
More can be learned about exponential equations at https://brainly.com/question/25537936
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