What is the answer to 8^{log_{10}(n)}=n^{log_{10}(8)} ?

The answer to 8^{log_{10}(n)}=n^{log_{10}(8)} is n=1

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8^{log_{10}(n)}=n^{log_{10}(8)}

8^{l o g_{10} (n)} = n^{l o g_{10} (8)}

n = 1

Solution steps

8^{l o g_{10} (n)} = n^{l o g_{10} (8)}

Apply log rules

n = 1

Verify Solutions:

n = 1

True

The solution is

n = 1

ln (x) + ln (x - 10) = 4

- 3 lo g_{x} (\frac{1}{4}) = - 2

x ln (3 x - 5) = 0

x + lo g_{10} (x + 9) = 1

d, p = 42.6 + 26 lo g_{10} (d) + 20

What is the answer to 8^{log_{10}(n)}=n^{log_{10}(8)} ?
The answer to 8^{log_{10}(n)}=n^{log_{10}(8)} is n=1
Solve for n: 8^{log_{10}(n)}=n^{log_{10}(8)}
The solution is n=1