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Popular >

3^{4x-5}<8

Solution

3^{4 x - 5} < 8

Solution

x < \frac{3 lo g _{3} ( 2 ) + 5}{4}

+2

Interval Notation

(- \infty, \frac{3 lo g _{3} ( 2 ) + 5}{4})

Decimal Notation

x < 1.72319 \dots

Solution steps

3^{4 x - 5} < 8

Apply exponent rules

4 x - 5 < 3 lo g_{3} (2)

4 x - 5 < 3 lo g_{3} (2) : x < \frac{3 lo g _{3} ( 2 ) + 5}{4}

x < \frac{3 lo g _{3} ( 2 ) + 5}{4}

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Frequently Asked Questions (FAQ)

What is 3^{4x-5}<8 ?
The solution to 3^{4x-5}<8 is x<(3log_{3}(2)+5)/4