How do I solve for x? 1.6 = x^1.535

1.6 = x^1.535

1.6 = x^(1.535)
1.6^(1/1.535) = x
x ≈ 1.358

1.6 = x^1.535

ln(1.6) = ln(x^1.535)


ln(1.6) = {1.535}ln(x)

ln(1.6)/{1.535} = ln(x)

ln(x) = ln(1.6)/{1.535}

e^ln(x) = e^[ln(1.6)/{1.535}]

x = e^[ln(1.6)/{1.535}]

x = 1.3582420990303115265346597692

Use the logarithmic property, ln(x^1.535) = 1.535 ln x

Take ln both sides, ln 1.6 = 1.535 ln x

ln x = 0.306

x = e^0.306

x = 1.358

YOU GUESS. PLUG IN RANDOM NUMBERS