What is the answer to 225^{3(x+1)}=15 ?

The answer to 225^{3(x+1)}=15 is x=-5/6

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225^{3(x+1)}=15

22 5^{3 (x + 1)} = 15

x = - \frac{5}{6}

Decimal Notation

x = - 0.83333 \dots

Solution steps

22 5^{3 (x + 1)} = 15

Apply exponent rules

6 (x + 1) = 1

Solve

6 (x + 1) = 1 : x = - \frac{5}{6}

x = - \frac{5}{6}

61 = 1 3^{x}

3^{x + 2} = 2^{x}

9^{x + 10} + 3 = 81

2. 3^{x - 2} = 162

6 e^{x + 3} - 4 = 20