If 5^2x-1 = 25^x-1 + 100, find 3^1+x
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Answer:
we need to bring together the terms containing x. Then constant terms on the other side. Then simplify by performing the addition/subtraction/multiplication.
Step-by-step explanation:
25^{x-1}=5^{2x-1}-100\\\\=>\ (5^2)^{x-1}=5^{2x-1}\ -2^2*5^2\\\\=>\ 5^{2x-2}-5^{2x-1}\ = - 2^2*5^2\\\\=>\ 5^{2x-2}*[ 1-5^1 ]=-2^2*5^2\\\\=>\ 5^{2x-2}*-4=-4*5^2\\\\=>\ 2x-2=2\\\\x=2
done.
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