Question

determine the value of the base x, (225)x = (341)8

Answer 1

(225)x=(341)8

(225)x=2728


X=2728/225

X=12.1244444444444

Answer 2

The value of the base x in the equation $(225)_{x} = (341)_{8}$ is 10.

Given,

The equation: $(225)_{x} = (341)_{8}$.

To Find,

The value of $x$ in the given equation.

Solution,

The method of finding the base x of the equation is as follows -

$(341)_{8}$ is a number with the base 8. Now, we will convert this number into a decimal representation.

So the process of calculating the decimal representation from base 8 is $(341)_{8} = ((3 * 8^{2}) + (4 * 8^{1}) + (1 * 8^{0}) )_{10}= (225)_{10}$.

So, we can observe the base x in the equation is 10.

Hence, the value of the base x in the equation $(225)_{x} = (341)_{8}$ is 10.

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