How do you solve $log 6 x - 3 = - 4$ $log 6x-3=-4$ ?

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How do you solve $log 6 x - 3 = - 4$ $log 6x-3=-4$ ?

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Answer 1 · 2018-05-01T08:12:43

See explanation.

Explanation:

$log 6 x - 3 = - 4$ $log6x-3=-4$

First step is yo move all numbers (here $- 3$ $-3$ ) to right side:

$log 6 x = - 4 + 3$ $log6x=-4+3$

$log 6 x = - 1$ $log6x=-1$

Now we have to change the number into a logarithm using the formula: $b = {log}_{a} a^{b}$ $b=log_a a^b$

$log 6 x = log 0.1$ $log6x=log0.1$

Now we can change the $log$ $log$ equation to the equation using only expressions under $log$ $log$ sign:

$6 x = 0.1$ $6x=0.1$

$x = \frac{1}{10} \div 6$ $x=1/10-:6$

$x = \frac{1}{10} \cdot \frac{1}{6}$ $x=1/10*1/6$

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How do you solve $log 6 x - 3 = - 4$ $log 6x-3=-4$ ?

1 Answer

Explanation:

$log 6 x - 3 = - 4$ $log6x-3=-4$

$log 6 x = - 4 + 3$ $log6x=-4+3$

$log 6 x = - 1$ $log6x=-1$

$log 6 x = log 0.1$ $log6x=log0.1$

$6 x = 0.1$ $6x=0.1$

$x = \frac{1}{10} \div 6$ $x=1/10-:6$

$x = \frac{1}{10} \cdot \frac{1}{6}$ $x=1/10*1/6$

$x = \frac{1}{60}$ $x=1/60$

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How do you solve log6x−3=−4 log 6x-3=-4?

1 Answer

Explanation:

log6x−3=−4log6x-3=-4

log6x=−4+3log6x=-4+3

log6x=−1log6x=-1

log6x=log0.1log6x=log0.1

6x=0.16x=0.1

x=110÷6x=1/10-:6

x=110⋅16x=1/10*1/6

x=160x=1/60

Related questions

Impact of this question

How do you solve $log 6 x - 3 = - 4$ $log 6x-3=-4$ ?

$log 6 x - 3 = - 4$ $log6x-3=-4$

$log 6 x = - 4 + 3$ $log6x=-4+3$

$log 6 x = - 1$ $log6x=-1$

$log 6 x = log 0.1$ $log6x=log0.1$

$6 x = 0.1$ $6x=0.1$

$x = \frac{1}{10} \div 6$ $x=1/10-:6$

$x = \frac{1}{10} \cdot \frac{1}{6}$ $x=1/10*1/6$

$x = \frac{1}{60}$ $x=1/60$