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shusha [124]
3 years ago
12

a student showed the steps below while solving the equation 14=log5(2x-3) by graphing. which step did the student make the 1sr e

rror
Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

x= \frac{5^{14}+3}{2}

Step-by-step explanation:

The correct steps to solve the equation are:

14=log_5(2x-5)

5^{14}=5^{log_5(2x-3)}

Because a^{log_am}=m

So, solving we get:

5^{14}=2x-3

Sum 3 on every side:

5^{14}+3=2x-3+3\\5^{14}+3=2x

Dividing by 2 into both sides:

\frac{5^{14}+3}{2}=\frac{2x}{2}\\\frac{5^{14}+3}{2}=x

So, the answer is  x= \frac{5^{14}+3}{2}

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