Question

solve 3^x =5^x+2 find the answer please​

Answer 1

Answer:

Answer

3

x

=5

x−2

Apply log on both sides

log3

x

=log5

x−2

xlog3=(x−2)log5

xlog3=xlog5−2log5

2log5=xlog(5−3)

2log5=xlog2

log

2

​

2log5

​

=x

log

2

​

log5

2

​

=x

log

2

​

log25

​

=x

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

$3^x = 5^{x+2}$

Taking log on both sides

$x \log 3 = (x + 2) \log 5 \\ x \log 3 - x \log 5 = 2 \log 5 \\ x(\log 3 -\log 5) = 2 \log 5 \\ x (\log(\frac{3}{5} )) = 2 \log 5 \\ \\ \\ x = \dfrac{\log 25 }{\log \frac{3}{5} }$