Question

3powerx=4 to the power x-1 then x=?3 power x is equal to 4 power x minus 1 then X equal to ​

Answer 1

Answer:

use the log properties

Step-by-step explanation:

see the pictures

i hope it will help for you

Answer 2

The value of x is $\frac{2}{2-\log_23}$.

Step-by-step explanation:

Consider the provided equation.

$3^x=4^{x-1}$

We need to find the value of x.

Rewrite the above equation by taking log both sides.

$\log_23^x=\log_24^{x-1}$

Apply the rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$x\log_23=(x-1)\log_24$

$x\log_23=(x-1)\log_22^2$

$x\log_23=2(x-1)\log_22$

Apply the property: $\log _a\left(a\right)=1$

$x\log_23=2(x-1)$

$x\log_23-2x=-2\\x(\log_23-2)=-2$

$x=\frac{-2}{\log_23-2}$

$x=\frac{2}{2-\log_23}$

Hence, the value of x is $\frac{2}{2-\log_23}$.

#Learn more

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