-5+5/3x=2 solve for x

Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)

Vilka [71]

Answer:

$x=3\log_3 (2) +8$

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

Then we have $x=\frac{3\log(2)}{\log 3} +8$ .

Now, using change of base formula:

$\frac{\log y}{\log b}=\log_b y$

So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

6 0

3 years ago

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Which sum is equivalent to 7/9 + 5/6?

matrenka [14]

Answer:

The Answer is 29/18 and in mixed form it is 1 11/18

Step-by-step explanation:

Steps for adding fractions

Find the least common denominator or LCM of the two denominators:

LCM of 9 and 6 is 18

Next, find the equivalent fraction of both fractional numbers with denominator 18

For the 1st fraction, since 9 × 2 = 18,

7

9

=

7 × 2

9 × 2

=

14

18

Likewise, for the 2nd fraction, since 6 × 3 = 18,

5

6

=

5 × 3

6 × 3

=

15

18

Add the two like fractions:

14

18

+

15

18

=

14 + 15

18

= 29/18

So, 7/9 + 5/6 = 29/18

In mixed form: 1 11/18

4 0

2 years ago

The ratio of red ribbons to green ribbons is 4 to 6.If these are total of 32 red ribbons, then how many green ribbons are there?

den301095 [7]

Answer:

48 green

Step-by-step explanation:

red : green

4 : 6

We want 32 red ribbons

Multiply each side by 8

red : green

4*8 : 6*8

32 : 48

4 0

3 years ago

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If a one dollar bill is 0.0001 meters thick, how many meters tall would a stack of 4 trillion one dollar bills be?

Luden [163]

So multiply .0001 by 4,000,000,000,000.
so use the decimal thing 1st.
so 1*4,000,000,000, and thats ur answer

7 0

3 years ago

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The volume of a cone, V, is represented by , where r is the cone’s radius and h its height.

Arlecino [84]

So the height will equal 95.50 inches.

So if you double the height the volume is 1800cm3 and that is double the original volume

And if you double the height the volume is 3600cm3 and that is the triple the original volume

8 0

2 years ago