Question

If log 8 (3x) +5 = log 8 (26), what is the value of x?

Answer 1

Answer:

x=7

Step-by-step explanation:

3x+5=26

3x=21

x=7

Answer 2

x = 0.0002644

Step-by-step explanation:

$\log _{8}3x + 5 = \log_{8}26$

We want get the logs on the same side

$\log _{8}3x-\log_{8}26=-5$

When you subtract logs with the same base, the insides get divided

$\log_{8}\frac{3x}{26} =-5$

If $\log_{8}x=2\\x = 8^2\\x = 64$

We have to do the same here

$\frac{3x}{26} =8^-^5\\\frac{3x}{26}=\frac{1}{8^5}\\\frac{3x}{26}=\frac{1}{32768}\\\\3x = \frac{26}{32768}\\x=\frac{26}{32768*3}\\x=\frac{13}{49152} = 0.0002644$