What is the answer to 6^x=|6x| ?

The answer to 6^x=|6x| is x=-(\W_{0}((ln(6))/6))/(ln(6))\lor x=-(\W_{0}(-(ln(6))/6))/(ln(6))\lor x=1

Solve for x: 6^x=|6x|

The solution is x=-(\W_{0}((ln(6))/6))/(ln(6))\lor x=-(\W_{0}(-(ln(6))/6))/(ln(6))\lor x=1

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6^{x} = ∣ 6 x ∣

x = - \frac{W _{0} ( \frac{l n ( 6 )}{6} )}{ln ( 6 )} or x = - \frac{W _{0} ( - \frac{l n ( 6 )}{6} )}{ln ( 6 )} or x = 1

Decimal Notation

x = - 0.13164 \dots, x = 0.27070 \dots, x = 1

Solution steps

6^{x} = ∣ 6 x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{W _{0} ( \frac{l n ( 6 )}{6} )}{ln ( 6 )} or x = - \frac{W _{0} ( - \frac{l n ( 6 )}{6} )}{ln ( 6 )} or x = 1

x = - \frac{W _{0} ( \frac{l n ( 6 )}{6} )}{ln ( 6 )} or x = - \frac{W _{0} ( - \frac{l n ( 6 )}{6} )}{ln ( 6 )} or x = 1

2 ∣ 3 x + 4 ∣ - 3 = 13

(x) = 6 ∣ x ∣ + 6

9 ∣ 7 - 3 x ∣ = 32

∣ x ∣ = - \frac{4}{11}

∣ x ∣ - 2 = 4 + 3 x - x^{2}

What is the answer to 6^x=|6x| ?
The answer to 6^x=|6x| is x=-(\W_{0}((ln(6))/6))/(ln(6))\lor x=-(\W_{0}(-(ln(6))/6))/(ln(6))\lor x=1
Solve for x: 6^x=|6x|
The solution is x=-(\W_{0}((ln(6))/6))/(ln(6))\lor x=-(\W_{0}(-(ln(6))/6))/(ln(6))\lor x=1