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Ann [662]
4 years ago
15

write each side of the equation as a single power.then write and solve an equation to find the value of n. show your work. 23^8.

23n=23^5
Mathematics
2 answers:
OLEGan [10]4 years ago
8 0

Answer:

\huge \boxed{n=-3}

Step-by-step explanation:

23^{8} \times 23^{n}=23^{5}

\sf Apply \ rule : a^b \times a^c=a^{b+c}

23^{8+n}=23^{5}

\sf Apply \ rule : a^b=a^c \rightarrow b=c

8+n=5

\sf Subtract \ 8 \ from \ both \ sides.

8+n-8=5-8

n=-3

Archy [21]4 years ago
3 0

Answer:

23^{n + 8} = 23^5.

n = -3.

Step-by-step explanation:

23^8 * 23^n = 23^5

23^{n + 8} = 23^5

Since both sides have the same base (23), we can solve for n.

n + 8 = 5

n = 5 - 8

n = -3.

Hope this helps!

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