Mathematics: NEED HELP ASAPP PLZ show WORK!! NEED HELP!!! 10 MIN left

56 to 60 and 27 to 3060 times 30 is 1800...

NEED HELP ASAPP PLZ show WORK!! NEED HELP!!! 10

jasmin2344

14.07.2021

$\text{Exact: }-\frac{1}{2}(\frac{\log4}{\log3}-1),\\\text{Rounded: }-0.13093$

Step-by-step explanation:

To move the exponent down, we'll be using log properties. Start by dividing each side of the given equation by 2:

$\displaystyle 3^{(1-2x)}=4$

Take the log of both sides, then use log property $\log a^b=b\log a$ to move the exponent down:

$\log 3^{(1-2x)}=\log 4,\\(1-2x)\log 3=\log4$

Divide both sides by $\log 3$ :

$1-2x=\frac{\log4}{\log3}$

Subtract 1 from both sides:

$-2x=\frac{\log4}{\log3}-1$

Divide both sides by -2:

$x=\boxed{-\frac{1}{2}(\frac{\log4}{\log3}-1)}$

As a decimal rounded to five decimal places, this is $\boxed{-0.13093}$ .

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