Answered

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Consider [tex][tex]$8^{x-4}=8^{10}$[/tex][/tex].

Because the bases are equal, the exponents must also be equal.

The solution to the equation is [tex]x = \square[/tex].

Sagot :

GinnyAnswer
Certainly! Let's solve the equation step-by-step:

Given the equation:
[tex]\[ 8^{x-4} = 8^{10} \][/tex]

Since the __bases__ are equal (both are [tex]\(8\)[/tex]), the __exponents__ must also be equal.

Therefore, we can set the exponents equal to each other:
[tex]\[ x - 4 = 10 \][/tex]

Now, we solve for [tex]\(x\)[/tex]:
[tex]\[ x = 10 + 4 \][/tex]

Thus, the solution to the equation is:
[tex]\[ x = 14 \][/tex]

So, the completed solution is [tex]\( x = 14 \)[/tex].
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