If log₈ 3x +5 = log₈26, what is the value of x?

If possible, enter your answer as an integer, like this: 42
If your answer must be rounded, enter it as a decimal rounded to one place, like this: 42.5

I got 0.0002 but it says it's wrong. Can someone walk me through the process of this problem?

recall that loga + logb = log(ab)

So, you have
log3x + log 8^5 = log 26
log (3x * 8^5) = log26
3x * 8^5 = 26
x = 26/(3*8^5) = 0.0002644
So you are right, as it is written. However, to illustrate that parentheses are important,

log(3x+5) = log26
3x+5 = 26
3x = 21
x = 7
Looks better, eh?

Wow thank you. Your response was very detailed and correct :)

To solve this equation, we can start by using the logarithmic property of equality, which states that if `logₐb = logₐc`, then `b = c`. Using this property, we can rewrite the given equation as:

3x + 5 = 26

Next, we can isolate the term with x by subtracting 5 from both sides:

3x = 26 - 5
3x = 21

Finally, we can solve for x by dividing both sides by 3:

x = 21 / 3
x = 7

So the value of x is 7.