The answer is unreasonable because the value of x is between 2 and 3.The error is : she did not introducing logs in solving the equation.
Step-by-step explanation:
The question is [tex]7^x=95[/tex]
Here answers is unreasonable because, she can test with powers of seven like;
7²=49
7³=343
So this means the value of x lies between 2 and 3, so here answer 11.71 is unreasonable
b) In this case, to solve the equation, introduce logs both sides
[tex]7^x=95[/tex]
[tex]log7^x=log95\\\\\\xlog7=log95\\\\\\x=\frac{log95}{log7} \\\\\\x=2.340[/tex]
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Keywords :Equation, error
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