What is the answer to 87=35^x ?

The answer to 87=35^x is x=(ln(87))/(ln(35))

The solution is x=(ln(87))/(ln(35))

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87=35^x

87 = 3 5^{x}

x = \frac{ln ( 87 )}{ln ( 35 )}

Decimal Notation

x = 1.25610 \dots

Solution steps

87 = 3 5^{x}

Apply exponent rules

ln (87) = x ln (35)

Solve

ln (87) = x ln (35) : x = \frac{ln ( 87 )}{ln ( 35 )}

x = \frac{ln ( 87 )}{ln ( 35 )}

2^{3 x + 5} = 9^{x + 1}

5^{x^{2}} = 2 5^{\frac{5}{2} x - 2}

2^{x} = 8^{x + 2}

(0.5)^{x} - 2^{x} - (0.5)^{2 x + 3} = 1

(x)^{x} = (x)^{x}