Selesaikan log_{2}({32})=x | Microsoft Math Solver

Cari nilai x

x = 5

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lo g_{2} (32) = x

Soal yang Mirip dari Pencarian Web

How do you solve

lo g_{2} 32 = x

https://socratic.org/questions/how-do-you-solve-log-2-32-x

x = 5

Explanation: The logarithmic expression can be exponentiated with a base of

2

2^{l o g_{2} 32} = 2^{x}

2^{x}

How do you solve

lo g_{3} 32 = x

https://socratic.org/questions/how-do-you-solve-log-3-32-x

This is already 'solved' in that

x = lo g_{3} 32

but you can use the change of base formula to find:

x = \frac{lo g ( 3 2 )}{lo g ( 3 )} = \frac{ln ( 3 2 )}{ln ( 3 )} \approx 3.15465

How do you write

lo g_{4} (32) = x

in exponential form?

https://socratic.org/questions/how-do-you-write-log-4-32-x-in-exponential-form

32 = 4^{x}

Explanation: You can use the definition of log:

lo g_{a} b = x \to b = a^{x}

4

x

How do you solve

lo g_{2} 3 = x

https://socratic.org/questions/how-do-you-solve-log-2-3-x

∴ x \approx 1.585

lo g_{2} 3 = x

\frac{lo g 3}{lo g 2} = x

: Use the change of base formula

lo g_{b} a = \frac{lo g a}{lo g b}

How do you write

lo g_{3} 27 = x

in exponential form?

https://socratic.org/questions/how-do-you-write-log-3-27-x-in-exponential-form

27 = 3^{x}

Explanation: Using the

law of logarithms

Reminder (∣ \overline{\underline{(\frac{a}{a}) (lo g_{b} a = n \Leftrightarrow a = b^{n}) (\frac{a}{a}) ∣}})

How do you solve

lo g_{3} 75 = 2 x

https://socratic.org/questions/how-do-you-solve-log-3-75-2x

P dilip_k Mar 27, 2016

lo g_{3} 75 = 2 x \Rightarrow 3^{2 x} = 75 \Rightarrow 9^{x} = 75 \Rightarrow x lo g 9 = lo g 75

\Rightarrow x = \frac{lo g 7 5}{lo g 3 ^{2}} = \frac{lo g 7 5}{2 lo g 3}

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